| Subject |
Summability |
| Title |
Paranormed sequence space of non-absolute type founded using generalized difference matrix |
| Author(s) |
Murat Candan and Asuman Güneş |
| Keywords |
Paranormed sequence space, alpha-, beta- and gamma-duals and matrix mappings |
| Abstract |
The present article mainly dwells on introducing the generalized Riesz difference sequence space $r^{q}(B_{u}^{p})$ that consists of all sequences whose $R_{u}^{q}B$-transforms are in the space $\ell(p)$, where $B$ stands for generalized difference matrix. Some topological properties of the new brand sequence space have been investigated as well as $\alpha$- $\beta$- and $\gamma$-duals. In addition to this, we have also constructed the basis of $r^{q}(B_{u}^{p})$. At the end of the article, we characterize a matrix class on the sequence space. These results are more general and more comprehensive than the corresponding results in the literature. |
